Studying Micro-structure Constitutive Theory And Damage Analysis Of Particulate-reinforced Composites

Mechanical properties of particulate-reinforced composites are determined by mechanical properties of matrix, intact particles and weakened interfaces particles which are distributed in the matrix and the interaction between these components. This paper develops a three-phase effective model of composites, which consists of matrix, intact particles and weakened interfaces particles. Presented the basic method of mechanical mechanics is mainly for effective elastic properties. It can estimate the evolution process of particles with a weakened interface for particle reinforced composites. This method can describe the damage between particles and matrix, and the effect of particle volume fraction on the mechanical behavior of composite materials can be also studied.In this paper, the basic model is based on the Eshelby equivalent inclusion method and self-consistent method. The far field stress in composites is deduced under the action of average stress strain relation of each material component, and the equivalent stiffness of composite materials is also obtained. Using the probability distribution function(Weibull function), the number of particles with a weakened interface during the process of deformation is determined. The voids due to the debonding damage between the matrix and intact particles or particles with a weakened interface are studied. The effect of particles on the weakened surface and voids of composites on the equivalent stiffness are described by this mode.In the developing process, the equivalent stiffness equation of composites is used in Ramburg-Osgood equations, the property parameters of material itself is used to calculate the numerical results of actual materials. The stress-strain relations of particle volume fraction are defined using the equation obtained, thus, the constitutive relation of composite materials can be found. According to the equivalent inclusion of micro-mechanics theory, we obtain the equivalent stiffness of three-phase inclusions of composites. During the process of numerical calculation, the effect of different volume fractions on equivalent stiffness of composites is determinate using the Ramburg-Osgood equations, and moreover for a corresponding change trend. The numerical results derived are compared with both existing results and experimental results. As a result, there is a better agreement between them.